neofx-zoom-plusplus/src/MathUtil.h

/*
 * MathUtil.h
 *
 * Copyright (C) 2009 Matthias Schiffer <matthias@gamezock.de>
 *
 * This program is free software: you can redistribute it and/or modify it
 * under the terms of the GNU Lesser General Public License as published by the
 * Free Software Foundation, either version 3 of the License, or
 * (at your option) any later version.
 *
 * This program is distributed in the hope that it will be useful, but
 * WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
 * See the GNU Lesser General Public License for more details.
 *
 * You should have received a copy of the GNU Lesser General Public License along
 * with this program. If not, see <http://www.gnu.org/licenses/>.
 */

#ifndef ZOOM_MATHUTIL_H_
#define ZOOM_MATHUTIL_H_

#include "Triangle.h"

#include <vmmlib/matrix.hpp>

namespace Zoom {

class MathUtil {
  public:
    static const float EPSILON;

    class Ray {
      public:
        Ray() : vertex(vmml::vec3f::ZERO), dir(vmml::vec3f::ZERO) {}
        Ray(const vmml::vec3f &v, const vmml::vec3f &d) : vertex(v), dir(d) {}

        const vmml::vec3f& getVertex() const {
          return vertex;
        }

        const vmml::vec3f& getDirection() const {
          return dir;
        }

      private:
        vmml::vec3f vertex;
        vmml::vec3f dir;
    };

    class Plane {
      public:
        Plane(const vmml::vec3f &n = vmml::vec3f::ZERO, float d0 = 0) : normal(n), d(d0) {}
        Plane(const Triangle &t) : normal(t.getNormal()), d(t.getVertex(0).dot(normal)) {}

        bool contains(const vmml::vec3f &v) const {
          return (fabsf(normal.dot(v) - d) < EPSILON);
        }

        bool isBehind(const vmml::vec3f &v) const {
          return (normal.dot(v) - d) < 0;
        }

        bool isInFront(const vmml::vec3f &v) const {
          return (normal.dot(v) - d) > 0;
        }


        bool contains(const Triangle &t) const {
          for(int i = 0; i < 3; ++i) {
            if(!contains(t.getVertex(i)))
              return false;
          }

          return true;
        }

        bool isBehind(const Triangle &t) const {
          for(int i = 0; i < 3; ++i) {
            if(!isBehind(t.getVertex(i)) && !contains(t.getVertex(i)))
              return false;
          }

          return true;
        }

        bool isInFront(const Triangle &t) const {
          for(int i = 0; i < 3; ++i) {
            if(!isInFront(t.getVertex(i)) && !contains(t.getVertex(i)))
              return false;
          }

          return true;
        }


        float distance(const vmml::vec3f &v) {
          return (normal.dot(v) - d);
        }

        const vmml::vec3f& getNormal() const {
          return normal;
        }

        vmml::vec3f intersection(const Ray &ray) const;

      private:
        vmml::vec3f normal;
        float d;
    };

    static vmml::mat4f perspective(float fovy, float aspect, float zNear);

  private:
    MathUtil();
};

}

#endif /* ZOOM_MATHUTIL_H_ */